展开 (36(x^2-42x+432))/pi-162sqrt(3)

解答

展开

\frac{36 ( x ^{2} - 42 x + 432 )}{π} - 1623

\frac{36 x ^{2}}{π} - \frac{1512 x}{π} + \frac{15552}{π} - 1623

求解步骤

\frac{36 ( x ^{2} - 42 x + 432 )}{π} - 1623

乘开

36 (x^{2} - 42 x + 432) : 36 x^{2} - 1512 x + 15552

= \frac{36 x ^{2} - 1512 x + 15552}{π} - 1623

使用分式法则:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{36 x ^{2} - 1512 x + 15552}{π} = \frac{36 x ^{2}}{π} - \frac{1512 x}{π} + \frac{15552}{π}

= \frac{36 x ^{2}}{π} - \frac{1512 x}{π} + \frac{15552}{π} - 1623

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